Press the ` key to toggle the display of the Shelf (that's the backtick/tilde key above the tab key).

Press Option-` to toggle the display of the Shelf and the Organizer.

Press Command-* to go into full screen mode. Via the Curio Preferences you can even make it so the toolbar goes into mini-icon mode or disappears when going into full screen mode.

Via the View popup toolbar button you can have the Organizer auto-hide itself. When you move the mouse to the left side of your window the Organizer will display itself. Move the mouse back over the active idea space and the Organizer will hide itself.